Problem Set 2 Mba 503
Problem Set II
Problem P9 17:
Jack Hammer
FV (Table 1) at 11% discount rate
2.00 x .901 = $1.80
2.20 x .802 = $1.79
2.40 x .731 = $1.75
33.00 x .731 = $24.12 -------- $29.46
Problem P9 - 22:
Alternative Present Values: Your rich godfather has offered you a choice of one of the three following alternatives: $10,000 now; $2,000 a year for eight years; or $24,000 at the end of eight years.
Solution:
(first alternative) Present value of 10,000 received now: 10,000
(second alternative) Present Value of annuity of 2,000 for eight years:
Appendix D
PVa=AxPVifa
=2,000xPVifa (11%,8years)
=2,000x5.146
=10,292
(third alternative) Present value of 24,000 received in 8 years
Appendix B
PV= FV x PVif
=24,000 x PVif(11%, 8 years)
Select 24,000 to be received in 8 years
Revised answer based on 12%
First alternative present values of 10,000 received today 10,000
Second present value of annunity of 2,000 for 8 years (same as above but use 12)
Problem P9 23
Payments Required: You need $28,974 at the end of 10 years, and your only investment outlet is an 8 percent long-term certificate of deposit (compounded annually). With the certificate of deposit, you make an initial investment at the beginning of the first year.
a. What single payment could be made at the beginning of the first year to achieve this objective?
Appendix b
PV=FV X PVif(8%, 10 periods)
=28,974 x .463 = 13,415
b. What amount could you pay at the end of each year annually for 10 years to achieve this same objective? Apendix C A=FVA/FV(IFA) = 28,974/14.487= $2,000
Problem P10 2:
2. Midland Oil has $1000 par value bonds outstanding at 8 percent interest. The bonds will mature in 25 years. Compute the current price of the bonds if the present yield to maturity is:
7 Percent
PVa = A x PV (n=25, i=7%)
PV = 80 x 11.654 = 932.32
PV = FV x PV (n=25, i =7%)
PV = 1000 x .184
Problem P9 17:
Jack Hammer
FV (Table 1) at 11% discount rate
2.00 x .901 = $1.80
2.20 x .802 = $1.79
2.40 x .731 = $1.75
33.00 x .731 = $24.12 -------- $29.46
Problem P9 - 22:
Alternative Present Values: Your rich godfather has offered you a choice of one of the three following alternatives: $10,000 now; $2,000 a year for eight years; or $24,000 at the end of eight years.
Solution:
(first alternative) Present value of 10,000 received now: 10,000
(second alternative) Present Value of annuity of 2,000 for eight years:
Appendix D
PVa=AxPVifa
=2,000xPVifa (11%,8years)
=2,000x5.146
=10,292
(third alternative) Present value of 24,000 received in 8 years
Appendix B
PV= FV x PVif
=24,000 x PVif(11%, 8 years)
Select 24,000 to be received in 8 years
Revised answer based on 12%
First alternative present values of 10,000 received today 10,000
Second present value of annunity of 2,000 for 8 years (same as above but use 12)
Problem P9 23
Payments Required: You need $28,974 at the end of 10 years, and your only investment outlet is an 8 percent long-term certificate of deposit (compounded annually). With the certificate of deposit, you make an initial investment at the beginning of the first year.
a. What single payment could be made at the beginning of the first year to achieve this objective?
Appendix b
PV=FV X PVif(8%, 10 periods)
=28,974 x .463 = 13,415
b. What amount could you pay at the end of each year annually for 10 years to achieve this same objective? Apendix C A=FVA/FV(IFA) = 28,974/14.487= $2,000
Problem P10 2:
2. Midland Oil has $1000 par value bonds outstanding at 8 percent interest. The bonds will mature in 25 years. Compute the current price of the bonds if the present yield to maturity is:
7 Percent
PVa = A x PV (n=25, i=7%)
PV = 80 x 11.654 = 932.32
PV = FV x PV (n=25, i =7%)
PV = 1000 x .184